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Finding the Fourth Proportional to 711.52, 982.01 and 431.88

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Solution

The fourth proportional to 711.52, 982.01 and 431.88 is: 596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.52 : 982.01 = 431.88 : x
  2. Step 2: Convert to fraction form
    711.52/982.01 = 431.88/x
  3. Step 3: Cross multiply
    711.52x = 982.01 × 431.88
  4. Step 4: Simplify right side
    711.52x = 424,110.48
  5. Step 5: Solve for x
    x = 424,110.48/711.52
  6. Step 6: Final answer
    x = 596.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.